0.13(30)+0.5x=0.4(30+x)

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Solution for 0.13(30)+0.5x=0.4(30+x) equation: 


Simplifying
0.13(30) + 0.5x = 0.4(30 + x)

Multiply 0.13 * 30
3.9 + 0.5x = 0.4(30 + x)
3.9 + 0.5x = (30 * 0.4 + x * 0.4)
3.9 + 0.5x = (12 + 0.4x)

Solving
3.9 + 0.5x = 12 + 0.4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.4x' to each side of the equation.
3.9 + 0.5x + -0.4x = 12 + 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
3.9 + 0.1x = 12 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
3.9 + 0.1x = 12 + 0.0
3.9 + 0.1x = 12

Add '-3.9' to each side of the equation.
3.9 + -3.9 + 0.1x = 12 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + 0.1x = 12 + -3.9
0.1x = 12 + -3.9

Combine like terms: 12 + -3.9 = 8.1
0.1x = 8.1

Divide each side by '0.1'.
x = 81

Simplifying
x = 81

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